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Feb 7, 2024

Erratum for “Game Theory Approach for Concurrent Delay Analysis”

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Publication: Journal of Construction Engineering and Management
Volume 150, Issue 4
The following correction should be made to “Game Theory Approach for Concurrent Delay Analysis” by Huu T. Huynh, Gunnar Lucko, and Mohamed S. Eid, https://doi.org/10.1061/JCEMD4.COENG-12947:
There are data errors in the original article that are corrected herein. The authors deeply regret any confusion that these errors may have caused to readers and the scholarly community.
In Table 6 of the original article, there was a regrettable error in the calculation of the Shapley value for Player A. The correct Shapley value for Player A is 333.33. This correction is essential to maintain the accuracy and integrity of our research findings. The corrected Table 6, with the accurate Shapley value, is presented herein.
Table 6. Tabular analysis of Fig. 1(f) (n=3)
Coalitionvv(S)v(S{A})v(S)v(S{B})V(S)v(S{C})ϕAϕBϕC
{A}111/3×1
{B}331/3×3
{C}551/3×5
{AB}3041/6×01/6×4
{AC}5061/6×01/6×6
{BC}5021/6×01/6×2
{ABC}50021/3×01/3×01/3×2
Shapley value, ϕ1/35/311/3
Liquidated damages (USD)333.331,666.673,666.67
Table 9 contained inaccuracies that require correction. First, the data in the column containing the contribution value for Coalition ABCD is incorrect. The correct contribution value is 2. Second, the value of ϕC for Coalition ABCD is incorrect. The accurate value is 1/4×2. To ensure the precision of our research, Table 9 is included herein with the corrected values.
Table 9. Tabular analysis of Fig. 1(i) (n=4)
Coalitionvv(S)v(S{A})v(S)v(S{B})v(S)v(S{C})v(S)v(S{D})ϕAϕBϕCϕD
{A}221/4×2
{B}551/4×5
{C}331/4×3
{D}111/4×1
{AB}2301/12×31/12×0
{AC}3051/12×01/12×5
{AD}1031/12×01/12×3
{BC}3081/12×01/12×8
{BD}1061/12×01/12×6
{CD}3201/12×21/12×0
{ABC}30051/12×01/12×01/12×5
{ABD}10031/12×01/12×01/12×3
{ACD}30201/12×01/12×21/12×0
{BCD}30201/12×01/12×21/12×0
{ABCD}300201/4×01/4×01/4×21/4×0
Shapley value, ϕ1/45/413/45/4
Liquidated damages (USD)2501,2503,2501,250
Table 13 contained errors in data entry. The marginal contribution of Footing (FT) in its coalition with Off-site fabrication activities (OF) was inaccurately calculated. The value of the coalition of OF and FT (with the presence of FT) is 75, and the value of the coalition without FT is also 75. Therefore, the correct marginal contribution of FT in the coalition of OF and FT is 0, not 4 as previously stated. The corrected Table 13 is provided herein.
Table 13. Marginal contribution of FT in two-player coalitions
CoalitionProject durationv(S)v(S{FT})
v(S)V(S{FT})
EX, FT75714
FT, OF75750
FT, ST75714
FT, RF75714
FT, WD75714
FT, ME80755
EL, FT77752
FC, FT75714
The authors thank Ms. Raha Hajiashrafi of Catholic University of America and Ms. Rouhi R. Samy of the Arab Academy for Science, Technology and Maritime Transport for detecting these errors.

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Go to Journal of Construction Engineering and Management
Journal of Construction Engineering and Management
Volume 150Issue 4April 2024

History

Received: Oct 5, 2023
Accepted: Nov 9, 2023
Published online: Feb 7, 2024
Published in print: Apr 1, 2024
Discussion open until: Jul 7, 2024

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Huu T. Huynh, Ph.D. [email protected]
Formerly, Doctoral Student, Construction Engineering and Management Program, Dept. of Civil and Environmental Engineering, Catholic Univ. of America, G-17 Pangborn Hall, 620 Michigan Ave. NE, Washington, DC 20064. Email: [email protected]
Professor and Director, Construction Engineering and Management Program, Dept. of Civil and Environmental Engineering, Catholic Univ. of America, G-17 Pangborn Hall, 620 Michigan Ave. NE, Washington, DC 20064. ORCID: https://orcid.org/0000-0002-7355-3365. Email: [email protected]
Associate Professor, Dept. of Construction and Building Engineering, College of Engineering and Technology, Arab Academy for Science, Technology, and Maritime Transport, Cairo 11799, Egypt (corresponding author). ORCID: https://orcid.org/0000-0002-5125-3986. Email: [email protected]

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